Mine is doing the same thing. i shut it off then a few minute or hours it turns on by it self.. Xbox support is no help what so ever.
I do have a temporary fix. Unplug it. I would like to know why people keep answering with retarded answers... maybe you have a ghost, or its telling you to play more... if you don't have anything intelligent to add don't waste everyone's time by posting. :angry::gun: